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Quantum Well (QWHE) sensors and their applications

M. Missous, FREng University of Manchester

PAGE 1 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 INTRODUCTION

Magnetic sensors are fundamental to engineering and the physical sciences and are indispensable components in many systems.

To date, virtually all magnetic sensors are either single elements or a small array of elements operated simultaneously (e.g. 3 component devices or small linear arrays). At best, present technology provides point, area average, or 1-Dimensional (assuming some form of linear translation) measurement of what is in reality a 4-D vector field (3- D space and time).

The ability to capture data in more than one dimension would be of real value and would represent a major advance in the state of the art.

Two dimensional arrays of the type proposed here would allow direct high speed vision of magnetic fields, which could have an immediate impact on critical systems, especially those used for inspection or monitoring purposes.

PAGE 2 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Principle of Hall Effect Sensing

 When a conductor carrying a current (I) is placed in a magnetic field (B) and oriented so that the current and magnetic field are at right angles, an electric field is produced in the conductor at right angles to both current and magnetic field and produce a Bz I Hall Voltage (Vh) given by: t

Jy Jx

Vh = Kh . B . I Vh

K  1 h t.n.e L

w Where the sensitivity Kh is given by: Fig. 1. Hall effect phenomenon t: Thickness n: Electron concentration e: Electron charge

PAGE 3 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Quantum Well Hall Effect sensors

Fig.2 Formation of 2DEG Quantum Well at AlGaAs/InGaAs heterojunction

2 mm

packaged sensor

2 µm to 70 µm GaAs-InGaAs-AlGaAs QWHE structure and Greek cross geometry with length to width ratio of 3.

PAGE 4 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 SEMICONDUCTOR THIN FILM SYNTHESIS :MOLECULAR BEAM EPITAXY (MBE)

MBE is the ultra high vacuum evaporation of a single crystal oriented overgrowth, from independently controlled constituent species.

RELIES ON UHV TECHNOLOGY

-12 • Ultra clean UHV (pp. O2, H2O, CO, CO2 << 1 x 10 Torr)

PAGE 5 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 EPITAXY

GaAs SUBSTRATE : 500 µm MBE LAYER : 1 µm

YIELD : ~ 40,000 Hall Sensor die per 4” wafer : “All identical”

Ga + As  1022 atoms cm-3 Si (or Be)  1016 atoms cm-3

• Purity : Better than parts per million • Uniformity : < 1% • Precision : < One atomic layer • Time for Deposition : ~ 1 hour

PAGE 6 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Hall Effect Devices Parameters/Limitations

 Offset Voltage:  Sensitivity  Piezoresistance Effect  Current sensitivity Si  Misalignment. V S  h  Noise i IB - 1/f Noise - Thermal noise  Voltage sensitivity Sv  Self Induced Magnetic Field w Sv  h G (due to passage of applied current) L

 Frequency Limitation  Linearity Restricted by relaxation time of  Effect of Temperature the dielectric material >> GHz  Joule Heating  Ambient temperature

PAGE 7 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Magnetic Field Sensors Spectrum

SQUIDs

Nuclear precession

Search coil

Fluxgate magnetometer

GMR 2DEG dynamic range > 1010 and no saturation

Commercial GaAs/Si Hall Effect sensor 2DEG Hall Effect sensor 10-6 10-3 10-2 10-1 1 10 102 103 104 105 Gauss 10-10 10-7 10-6 10-5 10-4 10-3 10-2 10-1 1 10 Tesla

Fig.3. Magnetic field sensor spectrum

PAGE 8 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Solid State Magnetic Sensors : Field sensors and Flux sensors.

The most sensitive magnetic sensors are Flux sensors but at the expense of size (Magnetic induction)

Field sensors measure flux density rather than flux and thus sensitivity is independent of size. (Hall Effect, AMR and GMR)

Field sensors have an inherent advantage in size and power when compared to search coils ,flux gates, and more sophisticated sensing techniques such as Superconducting Quantum Interference Detectors (SQUID).

The sensing can be done in an extremely small, lithographically defined area increasing the resolution for fields that change over small distances and allows for packaging arrays of sensors in a small footprint.

PAGE 9 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 As Hall effect devices are field sensors, their response does not depend on size, and thus micron sized elements can be fabricated.

Due to their small size, these sensors can also be used to field mapping purpose, where a single sensor integrating several elements can be used.

Furthermore the QWHE devices can also be fabricated into transistors therefore enabling configurations with nT/√Hz sensitivity (unlike GMR or AMR).

Unlike Si integrated Hall sensors, the QWHE are radiation resistant and capable of operating in harsh environments ( ~ 200 °C)

PAGE 10 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Noise sources in a QWHE Sensor The noise in a typical semiconductor devices is given by :

α is the Hooge parameter, E is the external electric field applied to the

device, Gn is a geometrical correction factor, f is operating frequency, n2−D is the 2-D electron concentration, Ai,g−r is the amplitude of g−r noise, τi is a characteristic time constant of the generation-recombination process, kB is Boltzmann constant, T is ambient measurement temperature and R the sample resistance.

PAGE 11 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Noise sources at high frequencies

Johnson or resistance noise, dominant above 1 to 10kHz, 1/2 Vn = (4kTBR) , in units of volts/(Sq-root Hz.) k is Boltzman’s constant, k = 1.38 x 10-23 Joule/Kelvin. B = Bandwidth in Hz. R = Resistance in Ohms. T = Temperature in degrees, K. (deg.K = deg.C + 273) The minimum B-field occurs when the S/N ratio is equal to 1 ie

and hence

k is Hall sensitivity and G is magnetic gain ( do not confuse with geometrical factor!).

PAGE 12 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 NOISE MEASUREMENTS

Current Source

Fig. 4 Noise Measurements

PAGE 13 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015

NOISE CHARACTERISTICS Shot Shot Noise

PreAmp : SRS560 DSA : Agilent35670A Current Source : OP27

Fig. 5 Noise characteristics (P2A)

PAGE 14 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Bmin CHARACTERISTICS

P2A QWHE sensor ~ 1µT/ √Hz @ 0.1Hz and 5mA ~ 20 nT/√Hz @ 100kHz and 5mA

Fig. 6 Minimum B-Field detection as a function of frequency

PAGE 15 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Single Sensor applications

PAGE 16 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 1D Passive Magnetic Imaging : Bank Notes Scanning

 Using a scanning DC magnetic field mapping system, a £5 and £10 UK and €10 Euro bank notes were scanned.

Position Scanning of £5, £10 UK and €10 bank Figure 7. Processing of scanned bank notes notes raw signals over metal strip , magnetic field strength ~ 5µT

PAGE 17 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 2D passive magnetic imaging

 Magnetic disk scan of an 5 x 5 mm2 area, the tracks of the disk are displayed as vertical lines.

Position Floppy disk scanning

Figure 8. Cross section of red line , magnetic flux density variations ~ 10 µT

PAGE 18 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 COMPARISONS WITH GMR and AMR

PAGE 19 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 AMR and GMR sensors

PAGE 20 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 AMR and GMR sensors

Hall Voltage vs Magnetic Flux Density I=1mA

600 500 400 300 200 100 0 Hall Hall Voltage VH (mV) 0 100 200 300 400 500 600 Magnetic Flux Density B (mT)

Die Size: 0.3 x 0.3 mm Die Size: 1.65 x 2.14 mm 40 times smaller than GMR

Maximum operating Temp ~125 C Maximum operating Temp ~200 °C

PAGE 21 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 AMR and GMR sensors

Note : GMR uses FC up to x100

Red line: QWHE sensor Sensitivity (No FC)

Fig. 9 GMR and QWHE sensors sensitivities

PAGE 22 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Combining Hall sensor and flux concentrator

Achieves 100pT/sqrt(Hz) at 1Hz and 1pT/sqrt(Hz) at > 1kHz Magnetic gain ~ 500

20 cm

P. Leroy et al Sensors and Actuators A 142 (2008) 503–510

PAGE 23 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 2 DEG Hall Effect Detection Sensitivity

Detection sensitivity depends on two factors: (1) Scale factor in translating B (Tesla) to output signal voltage and (2) noise that competes with the signal. For 2DEG devices the scale factor is typically 1V/Tesla. The scale factor depends on bias current, which is limited by device dissipation to a few mW at maximum. Dissipation and noise depends on the device resistance.

For our P2A sensor this gives a noise density of 3.4nV/root-Hz above 1kHz, rising at lower frequencies due to flicker noise. A good amplifier will have a noise density in the same region, typically 1-2nV/root-Hz. Obviously to get best sensitivity, we should operate the device with an AC field, if the application allows, and many do allow.

PAGE 24 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 2D Magnetic Field Camera STFC B-Cam PROJECT (with WFS)

PAGE 25 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 DC 2D array magnetometer design

Circuit design DC 2D array magnetometer

Schematic for DC 2D array magnetometer

PAGE 26 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 DC 2D array magnetometer circuit layout

4 Layer PCB layout:

•Top layer: Main components and most tracks for analog circuits

•Mid layer: Most tracks for analog circuits

•Mid-GND layer: Covered by analog ground

•Bottom Layer: Surface mount capacitors and most tracks for digital circuits

PAGE 27 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 DC 2D array magnetometer program flowchart

Program control of the scanning is a left to right cycle

Flowchart of micro-controlled DC 2D Hall array magnetometer

PAGE 28 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 DC 2D array magnetometer prototype

Sensitivity test results of the DC 2D Hall array magnetometer are shown below, where gains of x1, x2, x4, and x8 are the levels with 24, 12, 6, and 3 T icon1, respectively.

DC 2D 8x8x array magnetometer prototype with field visualisation

Sensitivity test results of the DC 2D Hall array magnetometer, where the attenuations in (a), (b), (c), and (d) are 1/32, 1/16, 1/8, and 1/4, respectively

PAGE 29 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 2D Magnetic Field Camera: MFL measurements • Magnetic Flus Leakage (MFL) exploits the fact that magnetic flux lines which are usually confined to the interior of a magnetised material, breaks out (leak) from the confinement at the site of a defect or discontinuity

Test Specimen

N S Magnet Internal Defect External Defect

Flux Leakage

Flux Leakage

PAGE 30 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 MFL Experimental set up

Groove

Groove Specimen

Mild Steel Specimen Bridge (Mild Steel)

(metal background)

PAGE 31 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 3D Magnetic Fields Simulation & Experimental results

Flux Leakage:Simulation and Experiment At the groove boundary

The predicted maximum value of Leakage Field ~ 16 20.0m mT Sim_No Groove Sim_Groove on the top surface 15.0m Expt_Groove on the top surface The experimental maximum value of Leakage Field ~ 9 Expt_No Groove mT

10.0m

5.0m

0.0

Bz (T) -5.0m Groove

-10.0m

-15.0m

-20.0m -4 -3 -2 -1 0 1 2 3 4 Position (cm)

PAGE 32 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Field inversion ( Flaw position)

PAGE 33 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 Field inversion ( Groove position)

PAGE 34 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015 WHERE NEXT ?

2D array in NDT combining coils for scene illumination and 2DEG sensors for image capture (3D Dynamic Magnetic Vision).

Excitation coil

Subject being imaged

Magnetic sensing Detection plate element

PAGE 35 WHERE NEXT ?

Integrated 2D ARRAYS with on board processing

Integrated 2D Sensor~ 2x 2 µm2 to 20 x 20 µm2 or Arrays size ~ larger 1mm x 1mm

Conformal sensing/Mapping Convergence of high performance III-V electronics with Flexible Electronics

AHS

Spin out Company Advanced Hall Sensors (AHS)

PAGE 36 CONCLUSIONS

 2DEG AlGaAs/InGaAs/GaAs QW Hall sensors show promise in nanotesla magnetometery.

 Field resolutions of ~ 1 T at DC and 20nT at 100kHz ( 1Hz bandwidth and room temperature) are possible.

 These Hall effect sensor can be used in banknote validations and magnetic domain imaging.

 High resolution 2D arrays are capable of rapid MFL measurements.

 3D Dynamic imaging arrays a possibility for Eddy Current testing of conductive and composite materials.

 More improvement expected with even more advanced QWHE structures….

PAGE 37 ACKNOWLEDGEMENTS

STUDENTS/PDRAs:

E. Ahmad, E. Balaban, M. Sadeghi, J. Sexton. C. Wei Liang and Z. Zhang

FUNDERS

1. STFC-ST/L000040/1 “HIGH RESOLUTION 2D MAGNETIC VISION- B-Cam “ Nov2013-Oct2016.”

2. TSB Technology Inspired CRD - Advanced Materials " High performance III-V semiconductor materials for magnetic Hall Effect sensors" Nov2013- October2015.

3. EPSRC “UK RESEARCH CENTRE IN NON- DESTRUCTIVE EVALUATION (RCNDE) 2014-2020” EP/L022125/1, Apr2-14-March2020

PAGE 38 THANK YOU AND QUESTIONS?

PAGE 39 Quantum Well Hall Effect (QWHE) sensors and their applications RAL 12th March 2015